Question

a rock is blown out of a volcano when it started to fall from its highest point at 9.5 seconds to hit the ground​

Answer 1

The rock reaches a maximum height of 442.225 m and was thrown at a speed of 93.1 m/s

Step-by-step explanation:

Vertical Launch

The rock is launched up with a certain speed vo, it reaches its highest point at a height h when the speed is zero, and then it stars a free-fall motion until it hits the ground at time t.

The maximum height is given by

`\displaystyle h=(g\cdot t^2)/(2)`

The rock takes the same time to reach this point as to return to the ground, thus we can calculate the maximum height

`\displaystyle h=(9.8\cdot 9.5^2)/(2)=442.225\ m`

The rock was thrown up at a speed

`v_o=gt=9.8\cdot 9.5=93.1 \ m/s`